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Finding the Fourth Proportional to 171,887.80, 257,831.70 and 53,568.64

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Solution

The fourth proportional to 171,887.80, 257,831.70 and 53,568.64 is: 80,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,887.80 : 257,831.70 = 53,568.64 : x
  2. Step 2: Convert to fraction form
    171,887.80/257,831.70 = 53,568.64/x
  3. Step 3: Cross multiply
    171,887.80x = 257,831.70 × 53,568.64
  4. Step 4: Simplify right side
    171,887.80x = 13,811,693,517.89
  5. Step 5: Solve for x
    x = 13,811,693,517.89/171,887.80
  6. Step 6: Final answer
    x = 80,352.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.